How do you simplify $sqrt2(5sqrt2 + 3sqrt8 - 4sqrt32)$ ?

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Answer 1 · 2016-04-24T20:51:07

$-10$

look for squares that 'can be taken outside' the square roots.

given: $" "sqrt(2)(5sqrt(2)+3sqrt(8)-4sqrt(32))$

write as $" "sqrt(2)(5sqrt(2)+3sqrt(2xx2^2)-4sqrt(2^2xx2^2xx2))$

$sqrt(2)(5sqrt(2)+6sqrt(2)-16sqrt(2))$

$2(5+6-16)$

$-10$

How do you simplify sqrt2(5sqrt2 + 3sqrt8 - 4sqrt32)sqrt2(5sqrt2 + 3sqrt8 - 4sqrt32)?